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<div class="nonumtoc">__TOC__</div>
<div class="nonumtoc">__TOC__</div>
==1. Introduction==
==1. Introduction==
===1.1. Outline of the Project : Inquiry Into Inquiry===
===1.1. Outline of the Project : Inquiry Into Inquiry===
====1.1.1. Problem====
====1.1.1. Problem====
====1.1.2. Method====
====1.1.2. Method====
=====1.1.2.1. The Paradigmatic and Process-Analytic Phase=====
=====1.1.2.1. The Paradigmatic and Process-Analytic Phase=====
=====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase=====
=====1.1.2.2. The Paraphrastic and Faculty-Synthetic Phase=====
=====1.1.2.3. Reprise of Methods=====
=====1.1.2.3. Reprise of Methods=====
====1.1.3. Criterion====
====1.1.3. Criterion====
====1.1.4. Application====
====1.1.4. Application====
===1.2. Onus of the Project : No Way But Inquiry===
===1.2. Onus of the Project : No Way But Inquiry===
====1.2.1. A Modulating Prelude====
====1.2.1. A Modulating Prelude====
====1.2.2. A Fugitive Canon====
====1.2.2. A Fugitive Canon====
===1.3. Option of the Project : A Way Up To Inquiry===
===1.3. Option of the Project : A Way Up To Inquiry===
====1.3.1. Initial Analysis of Inquiry : Allegro Aperto====
====1.3.1. Initial Analysis of Inquiry : Allegro Aperto====
====1.3.2. Discussion of Discussion====
====1.3.2. Discussion of Discussion====
====1.3.3. Discussion of Formalization : General Topics====
====1.3.3. Discussion of Formalization : General Topics====
=====1.3.3.1. A Formal Charge=====
=====1.3.3.1. A Formal Charge=====
=====1.3.3.2. A Formalization of Formalization?=====
=====1.3.3.2. A Formalization of Formalization?=====
=====1.3.3.3. A Formalization of Discussion?=====
=====1.3.3.3. A Formalization of Discussion?=====
=====1.3.3.4. A Concept of Formalization=====
=====1.3.3.4. A Concept of Formalization=====
=====1.3.3.5. A Formal Approach=====
=====1.3.3.5. A Formal Approach=====
=====1.3.3.6. A Formal Development=====
=====1.3.3.6. A Formal Development=====
=====1.3.3.7. A Formal Persuasion=====
=====1.3.3.7. A Formal Persuasion=====
====1.3.4. Discussion of Formalization : Concrete Examples====
====1.3.4. Discussion of Formalization : Concrete Examples====
=====1.3.4.1. Formal Models : A Sketch=====
=====1.3.4.1. Formal Models : A Sketch=====
=====1.3.4.2. Sign Relations : A Primer=====
=====1.3.4.2. Sign Relations : A Primer=====
=====1.3.4.3. Semiotic Equivalence Relations=====
=====1.3.4.3. Semiotic Equivalence Relations=====
=====1.3.4.4. Graphical Representations=====
=====1.3.4.4. Graphical Representations=====
=====1.3.4.5. Taking Stock=====
=====1.3.4.5. Taking Stock=====
=====1.3.4.6. The "Meta" Question=====
=====1.3.4.6. The "Meta" Question=====
=====1.3.4.7. Iconic Signs=====
=====1.3.4.7. Iconic Signs=====
=====1.3.4.8. The Conflict of Interpretations=====
=====1.3.4.8. The Conflict of Interpretations=====
=====1.3.4.9. Indexical Signs=====
=====1.3.4.9. Indexical Signs=====
=====1.3.4.10. Sundry Problems=====
=====1.3.4.10. Sundry Problems=====
=====1.3.4.11. Review and Prospect=====
=====1.3.4.11. Review and Prospect=====
=====1.3.4.12. Objective Plans and Levels=====
=====1.3.4.12. Objective Plans and Levels=====
=====1.3.4.13. Formalization of OF : Objective Levels=====
=====1.3.4.13. Formalization of OF : Objective Levels=====
=====1.3.4.14. Application of OF : Generic Level=====
=====1.3.4.14. Application of OF : Generic Level=====
=====1.3.4.15. Application of OF : Motive Level=====
=====1.3.4.15. Application of OF : Motive Level=====
=====1.3.4.16. The Integration of Frameworks=====
=====1.3.4.16. The Integration of Frameworks=====
=====1.3.4.17. Recapitulation : A Brush with Symbols=====
=====1.3.4.17. Recapitulation : A Brush with Symbols=====
=====1.3.4.18. C'est Moi=====
=====1.3.4.18. C'est Moi=====
=====1.3.4.19. Entr'acte=====
=====1.3.4.19. Entr'acte=====
====1.3.5. Discussion of Formalization : Specific Objects====
====1.3.5. Discussion of Formalization : Specific Objects====
=====1.3.5.1. The Will to Form=====
=====1.3.5.1. The Will to Form=====
=====1.3.5.2. The Forms of Reasoning=====
=====1.3.5.2. The Forms of Reasoning=====
=====1.3.5.3. A Fork in the Road=====
=====1.3.5.3. A Fork in the Road=====
=====1.3.5.4. A Forged Bond=====
=====1.3.5.4. A Forged Bond=====
=====1.3.5.5. A Formal Account=====
=====1.3.5.5. A Formal Account=====
=====1.3.5.6. Analogs, Icons, Models, Surrogates=====
=====1.3.5.6. Analogs, Icons, Models, Surrogates=====
=====1.3.5.7. Steps and Tests of Formalization=====
=====1.3.5.7. Steps and Tests of Formalization=====
=====1.3.5.8. The Referee=====
=====1.3.5.8. The Referee=====
=====1.3.5.9. Partial Formalizations=====
=====1.3.5.9. Partial Formalizations=====
=====1.3.5.10. A Formal Utility=====
=====1.3.5.10. A Formal Utility=====
=====1.3.5.11. A Formal Aesthetic=====
=====1.3.5.11. A Formal Aesthetic=====
=====1.3.5.12. A Formal Apology=====
=====1.3.5.12. A Formal Apology=====
=====1.3.5.13. A Formal Suspicion=====
=====1.3.5.13. A Formal Suspicion=====
=====1.3.5.14. The Double Aspect of Concepts=====
=====1.3.5.14. The Double Aspect of Concepts=====
=====1.3.5.15. A Formal Permission=====
=====1.3.5.15. A Formal Permission=====
=====1.3.5.16. A Formal Invention=====
=====1.3.5.16. A Formal Invention=====
====1.3.6. Recursion in Perpetuity====
====1.3.6. Recursion in Perpetuity====
====1.3.7. Processus, Regressus, Progressus====
====1.3.7. Processus, Regressus, Progressus====
====1.3.8. Rondeau : Tempo di Menuetto====
====1.3.8. Rondeau : Tempo di Menuetto====
==2. Part 2==
==2. Part 2==
===2.1. Reconnaissance===
===2.1. Reconnaissance===
====2.1.1. The Informal Context====
====2.1.1. The Informal Context====
====2.1.2. The Epitext====
====2.1.2. The Epitext====
====2.1.3. The Formative Tension====
====2.1.3. The Formative Tension====
===2.2. Recurring Themes===
===2.2. Recurring Themes===
====2.2.1. Preliminary Notions====
====2.2.1. Preliminary Notions====
====2.2.2. Intermediary Notions====
====2.2.2. Intermediary Notions====
====2.2.3. Propositions and Sentences====
====2.2.3. Propositions and Sentences====
====2.2.4. Empirical Types and Rational Types====
====2.2.4. Empirical Types and Rational Types====
====2.2.5. Articulate Sentences====
====2.2.5. Articulate Sentences====
====2.2.6. Stretching Principles====
====2.2.6. Stretching Principles====
====2.2.7. Stretching Operations====
====2.2.7. Stretching Operations====
===2.3. The Cactus Patch===
===2.3. The Cactus Patch===
====2.3.1. The Cactus Language : Syntax====
====2.3.1. The Cactus Language : Syntax====
=====2.3.1.1. Grammar 1=====
=====2.3.1.1. Grammar 1=====
=====2.3.1.2. Grammar 2=====
=====2.3.1.2. Grammar 2=====
=====2.3.1.3. Grammar 3=====
=====2.3.1.3. Grammar 3=====
=====2.3.1.4. Grammar 4=====
=====2.3.1.4. Grammar 4=====
=====2.3.1.5. Grammar 5=====
=====2.3.1.5. Grammar 5=====
=====2.3.1.6. Grammar 6=====
=====2.3.1.6. Grammar 6=====
====2.3.2. Generalities About Formal Grammars====
====2.3.2. Generalities About Formal Grammars====
====2.3.3. The Cactus Language : Stylistics====
====2.3.3. The Cactus Language : Stylistics====
====2.3.4. The Cactus Language : Mechanics====
====2.3.4. The Cactus Language : Mechanics====
====2.3.5. The Cactus Language : Semantics====
====2.3.5. The Cactus Language : Semantics====
====2.3.6. Stretching Exercises====
====2.3.6. Stretching Exercises====
===2.4. Syntactic Transformations===
===2.4. Syntactic Transformations===
====2.4.1. Syntactic Transformation Rules====
====2.4.1. Syntactic Transformation Rules====
====2.4.2. Derived Equivalence Relations====
====2.4.2. Derived Equivalence Relations====
====2.4.3. Digression on Derived Relations====
====2.4.3. Digression on Derived Relations====
==3. Part 3==
==3. Part 3==
===3.1. Outlook of the Project : All Ways Lead to Inquiry===
===3.1. Outlook of the Project : All Ways Lead to Inquiry===
====3.1.1. The Matrix of Inquiry====
====3.1.1. The Matrix of Inquiry====
=====3.1.1.1. Inquiry as Conduct=====
=====3.1.1.1. Inquiry as Conduct=====
=====3.1.1.2. Types of Conduct=====
=====3.1.1.2. Types of Conduct=====
=====3.1.1.3. Perils of Inquiry=====
=====3.1.1.3. Perils of Inquiry=====
=====3.1.1.4. Forms of Relations=====
=====3.1.1.4. Forms of Relations=====
=====3.1.1.5. Models of Inquiry=====
=====3.1.1.5. Models of Inquiry=====
====3.1.2. The Moment of Inquiry====
====3.1.2. The Moment of Inquiry====
====3.1.3. The Modes of Inquiry====
====3.1.3. The Modes of Inquiry====
=====3.1.3.1. Deductive Reasoning=====
=====3.1.3.1. Deductive Reasoning=====
=====3.1.3.2. Inductive Reasoning=====
=====3.1.3.2. Inductive Reasoning=====
=====3.1.3.3. Abductive Reasoning=====
=====3.1.3.3. Abductive Reasoning=====
=====3.1.3.4. Analogical Reasoning=====
=====3.1.3.4. Analogical Reasoning=====
===3.2. Obstacles to the Project : In the Way of Inquiry===
===3.2. Obstacles to the Project : In the Way of Inquiry===
====3.2.1. The Initial Unpleasantness====
====3.2.1. The Initial Unpleasantness====
====3.2.2. The Justification Trap====
====3.2.2. The Justification Trap====
====3.2.3. A Formal Apology====
====3.2.3. A Formal Apology====
=====3.2.3.1. Category Double-Takes=====
=====3.2.3.1. Category Double-Takes=====
=====3.2.3.2. Conceptual Extensions=====
=====3.2.3.2. Conceptual Extensions=====
=====3.2.3.3. Explosional Recombinations=====
=====3.2.3.3. Explosional Recombinations=====
=====3.2.3.4. Interpretive Frameworks=====
=====3.2.3.4. Interpretive Frameworks=====
====3.2.4. A Material Exigency====
====3.2.4. A Material Exigency====
====3.2.5. A reconciliation of Accounts====
====3.2.5. A reconciliation of Accounts====
====3.2.6. Objections to Reflective Inquiry====
====3.2.6. Objections to Reflective Inquiry====
====3.2.7. Empirical Considerations====
====3.2.7. Empirical Considerations====
====3.2.8. Computational Considerations====
====3.2.8. Computational Considerations====
=====3.2.8.1. A Form of Recursion=====
=====3.2.8.1. A Form of Recursion=====
=====3.2.8.2. A Power of Abstraction=====
=====3.2.8.2. A Power of Abstraction=====
==Appendices==
==Appendices==